TSTP Solution File: BOO005-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:02:42 EDT 2023
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
add(a,multiplicative_identity) != multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
add(multiplicative_identity,a) != multiplicative_identity,
inference(forward_demodulation,[status(thm)],[f16,f30]) ).
fof(f274,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f275,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f274]) ).
fof(f331,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f26,f275]) ).
fof(f332,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f22,f331]) ).
fof(f365,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f16,f332]) ).
fof(f394,plain,
multiplicative_identity != multiplicative_identity,
inference(backward_demodulation,[status(thm)],[f365,f33]) ).
fof(f395,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:42:27 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.018106 seconds
% 0.16/0.55 % CPU time: 0.028566 seconds
% 0.16/0.55 % Memory used: 482.251 KB
%------------------------------------------------------------------------------